Title of article :
Topology of closed 1-forms and their critical points
Author/Authors :
Farber، نويسنده , , Michael، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Abstract :
In this paper we suggest an analog of the Lusternik–Schnirelman theory for closed 1-forms. Namely, we use cup-products and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1-form in a given cohomology class.
Keywords :
Lusternik–Schnirelman theory , Closed 1-forms , Morse theory , Massey products